Search a number
-
+
187075280484 = 2234240292
BaseRepresentation
bin1010111000111010001…
…1100011111001100100
3122212212121010220110000
42232032203203321210
511031112232433414
6221535144301300
716341620435001
oct2561643437144
9585777126400
10187075280484
117237a134124
123030b171830
1314844717651
1490a97508a8
154ced942b09
hex2b8e8e3e64

187075280484 has 45 divisors (see below), whose sum is σ = 489072089737. Its totient is φ = 62355831696.

The previous prime is 187075280473. The next prime is 187075280503. The reversal of 187075280484 is 484082570781.

The square root of 187075280484 is 432522.

It is a perfect power (a square), and thus also a powerful number.

187075280484 is a `hidden beast` number, since 1 + 8 + 70 + 7 + 528 + 0 + 48 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 186950734884 + 124545600 = 432378^2 + 11160^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 187075280484.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7773382 + ... + 7797410.

Almost surely, 2187075280484 is an apocalyptic number.

187075280484 is the 432522-nd square number.

It is an amenable number.

187075280484 is an abundant number, since it is smaller than the sum of its proper divisors (301996809253).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

187075280484 is an frugal number, since it uses more digits than its factorization.

187075280484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48074 (or 24034 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 187075280484 in words is "one hundred eighty-seven billion, seventy-five million, two hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 24029 48058 72087 96116 144174 216261 288348 432522 648783 865044 1297566 1946349 2595132 3892698 7785396 577392841 1154785682 1732178523 2309571364 3464357046 5196535569 6928714092 10393071138 15589606707 20786142276 31179213414 46768820121 62358426828 93537640242 187075280484